Home
Class 12
MATHS
Statement -1 In the equation ax^(2)+3x+5...

Statement -1 In the equation `ax^(2)+3x+5=0`, if one root is reciprocal of the other, then `a` is equal to 5.
Statement -2 Product of the roots is 1.

A

Statement -1 is true, Statement -2 is true, Statement -2 is a correct explanation for Statement-1

B

Statement -1 is true, Statement -2 is true, Statement -2 is not a correct explanation for Statement -1

C

Statement -1 is true, Statement -2 is false

D

Statement -1 is false, Statement -2 is true

Text Solution

Verified by Experts

The correct Answer is:
A

Let `alpha` be one root of equation `ax^(2)+3X+5=0`. Therefore
`alpha . 1/(alpha+ =5/a`
`implies 1=5/a`
`rarra=5`
Hence both the statement are true and Statement -2 is the correct explanation of Statement -1.
Promotional Banner

Similar Questions

Explore conceptually related problems

In the equations ax^(2) + bx+ c =0 , if one roots is negative of the other then:

For the equation 3 x^(2)+p x+3=0, p gt 0 , if one root is square of the other, then p=

If one root of the equation 6x^2 − 2 x + ( λ − 5 ) = 0 be the reciprocal of the other, then λ =

If one root of the equation 5 x^(2)+13 x+k=0 is reciprocal of other, then the value of k is

If one root of the equation x^(2) + px + q = 0 is square of the other root, then :

Roots of the equation x^(2) -2x+ 1 =0 are :

One root of the equation x^(2) - 5x+ k = 0 is 2. Then k is :

Real roots of the equation x^(2)+6|x|+5=0 are

If one of the roots of the equations x^(2) - 5x=0 is zero then the other roots is :

If one root of the equation ax^(2) + bx + c =0 is reciprocal of the one root of the equation a_(1)x^(2) + b_(1) x + c_(1) = 0 , then :